3. Major League Baseball officials have been concerned about the lengths of games,particularly playoff games. Officials are concerned that the mean length of a playoffgame is longer than the mean length of a regular season game. (hint: sample 1 isplayoff, sample 2 is regular season)A random sample of 30 playoff games over the past 10 years had an average lengthof 189.3 minutes. A random sample of 32 regular season games over the past 10years had an average length of 175.8 minutes. Assume the sample standarddeviations of the playoff and regular season games are 25 and 21 minutes,respectively.Hypotheses, given a 10% level of significance: test to see if playoff game time islonger.Playoff GameRegular SeasonHo:Pooled variance =critH₂:statSample SizeAverage Length of GameSample Standard Deviationtailsalphapvalue

The provided information is as follows:The sample 1 represents the playoff.Sample 2 represents the…

Answered: 3. Major League Baseball officials have…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. A researcher plans to conduct a survey among students in a public high school. If the population of thisschool is 5,000, find the sample size and the percentage from the N population. (Margin of error is 5%)A = {9,10,11,7,13}B = {10,10,10,10,10}C = {1,1,10,19,19}a. Calculate the mean of each data set.b. Calculate the standard deviation of each data set.c. Which set has the largest standard deviation?
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. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.
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13. Dave likes to grow cucumbers, and each year he experiments with ways to improve his crop. This summer, he wants to determine whether the new fertilizer he has seen advertised will increase the mean number of cucumbers produced per plant. He uses the old fertilizer on 15 cucumber plants and the new fertilizer on the other 13 plants. Over the course of the growing season, he calculates a mean of 17.4 cucumbers per plant for the old fertilizer, with a standard deviation of 2.0 cucumbers. He calculates a mean of 21.6 cucumbers per plant for the new fertilizer, with a standard deviation of 2.7 cucumbers. You may assume that both samples came from populations that are approximately normal. Assume that the population variances are not equal. a. Determine the best point estimate for the true mean difference in cucumber production. Correct notation counts. b. Construct a 95% confidence interval for the true mean difference in cucumber production. For credit, your work must include a…
During the month of January 2017, a total of 29,404 flights took off from a particular airport. Of all these flights, 23.9 % had a departure delay of more than 10 minutes. Suppose we randomly sample just 100 of these flights. Complete parts a through d. a. What sample proportion should we expect to see in such a sample, and how much should we expect the proportion to vary from sample to sample in samples of size 100? The mean is (Round to three decimal places as needed.)
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